Information on Result #672453
Linear OA(2171, 131072, F2, 21) (dual of [131072, 130901, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2189, 131090, F2, 23) (dual of [131090, 130901, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2172, 131090, F2, 21) (dual of [131090, 130918, 22]-code) | [i] | ✔ | |
| 3 | Linear OA(2234, 131120, F2, 27) (dual of [131120, 130886, 28]-code) | [i] | ✔ | |
| 4 | Linear OOA(2171, 65536, F2, 2, 21) (dual of [(65536, 2), 130901, 22]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2171, 32768, F2, 4, 21) (dual of [(32768, 4), 130901, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(2171, 26214, F2, 5, 21) (dual of [(26214, 5), 130899, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(2171, 21845, F2, 6, 21) (dual of [(21845, 6), 130899, 22]-NRT-code) | [i] | ||
| 8 | Linear OOA(2171, 18724, F2, 7, 21) (dual of [(18724, 7), 130897, 22]-NRT-code) | [i] | ||
| 9 | Linear OOA(2171, 16384, F2, 8, 21) (dual of [(16384, 8), 130901, 22]-NRT-code) | [i] | ||
| 10 | Linear OOA(2171, 13107, F2, 21, 21) (dual of [(13107, 21), 275076, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |